30129264 has 120 divisors (see below), whose sum is σ = 96100992. Its totient is φ = 8722560.

The previous prime is 30129199. The next prime is 30129299. The reversal of 30129264 is 46292103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36019 + ... + 36845.

Almost surely, 2^30129264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30129264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48050496).

30129264 is an abundant number, since it is smaller than the sum of its proper divisors (65971728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30129264 is a wasteful number, since it uses less digits than its factorization.

30129264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30129264 is about 5489.0130260366. The cubic root of 30129264 is about 311.1688925936.

The spelling of 30129264 in words is "thirty million, one hundred twenty-nine thousand, two hundred sixty-four".